Topological Up-Algebras
In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furtherm...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2019-12-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1317 |
| _version_ | 1797715215878455296 |
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| author | Satirad Akarachai Iampan Aiyared |
| author_facet | Satirad Akarachai Iampan Aiyared |
| author_sort | Satirad Akarachai |
| collection | DOAJ |
| description | In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furthermore, we study the relation between topological UP-algebras, Hausdor spaces, discrete spaces, and quotient topological spaces, and prove some properties of topological UP-algebras. |
| first_indexed | 2024-03-12T08:03:38Z |
| format | Article |
| id | doaj.art-1c13798439ef430189a49be2bdc335b6 |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T08:03:38Z |
| publishDate | 2019-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-1c13798439ef430189a49be2bdc335b62023-09-02T19:42:32ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732019-12-0139223125010.7151/dmgaa.1317dmgaa.1317Topological Up-AlgebrasSatirad Akarachai0Iampan Aiyared1Department of Mathematics, School of Science, University of Phayao, Phayao56000, ThailandDepartment of Mathematics, School of Science, University of Phayao, Phayao56000, ThailandIn this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furthermore, we study the relation between topological UP-algebras, Hausdor spaces, discrete spaces, and quotient topological spaces, and prove some properties of topological UP-algebras.https://doi.org/10.7151/dmgaa.1317topological up-algebraquotient topological spacetopological up-homomorphismprimary: 03g25secondary: 54a05 |
| spellingShingle | Satirad Akarachai Iampan Aiyared Topological Up-Algebras Discussiones Mathematicae - General Algebra and Applications topological up-algebra quotient topological space topological up-homomorphism primary: 03g25 secondary: 54a05 |
| title | Topological Up-Algebras |
| title_full | Topological Up-Algebras |
| title_fullStr | Topological Up-Algebras |
| title_full_unstemmed | Topological Up-Algebras |
| title_short | Topological Up-Algebras |
| title_sort | topological up algebras |
| topic | topological up-algebra quotient topological space topological up-homomorphism primary: 03g25 secondary: 54a05 |
| url | https://doi.org/10.7151/dmgaa.1317 |
| work_keys_str_mv | AT satiradakarachai topologicalupalgebras AT iampanaiyared topologicalupalgebras |